a few things i want to say-
1.im not perfectly sure about this but i believe Vita means 'war' and
Ni means 'I am' Put them together and the word is Vitani. So, Vitani's
name means 'I am war'
2. If you listen closely to the characters in SP they might call
Vitani by her original name, Shetani. I haven't heard this so far so I
can't give you any tips on where to listen for it. You'll have to find
it on your own.
3. in the original script, there were no Outsiders. Just Zira, known
as Binaci at the time, Kovu, who at the time was Scar's son, and the
three hyenas. It was changed for various reasons, some of them VERY
obvious.

Cool article, I always knew the names but I never knew the words in
Rafiki's song. I assumed it would be something funny

Actually Vitani means "War God", but she was originaly called
"Shetani" which does mean satan.
(Disney said that they thought it might seem too dark to name a kid
satan and that it would start a lot of trouble with the viewers)

No, Nala means gift, pureperfectblood was right. Kiara, i checked on,
and it's actually an irish word meaning small or dark. Even Disney
admitted, but why an irish name for a lion cub? But Kiara could
possibly be a name the Swahili people use, because it's also used as a
name in different nations.